#include <bits/stdc++.h>
using namespace std;
long long dp[2*500*500+1];
long long mod = int(1e9+7);
bitset<2*500*500+1> su;
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int n;
cin>>n;
int arr[n] , sum = 0;
for(int i = 0;i<n;i++){
cin>>arr[i];sum+=arr[i];
}
dp[0] = 1;
for(int i = 0;i<n;i++){
for(int j = 2*sum;j>=arr[i];j--){
dp[j]+=dp[j-arr[i]];
if(dp[j]>=1e18)dp[j]%=mod;
}
}
if(sum%2||(!dp[sum/2])){
cout<<"0";
return 0;
}
for(int i = (arr[0]%2?1:2);i<=sum;i+=2){su[i] = 1;}
for(int it = 0;it<n;it++){
for(int j = arr[it];j<=2*sum;j++){
dp[j]-=dp[j-arr[it]];
dp[j]%=mod;
if(dp[j]<0){dp[j]%=mod;dp[j]+=mod;dp[j]%=mod;}
}
for(int j = (arr[0]%2?1:2);j<=sum;j+=2){
if((sum-arr[it]+j)%2){
su[j] = 0;
continue;
}
int ne = sum-arr[it]+j;
int d = (dp[ne/2]>0);
if(j<=ne/2)d|=(dp[(ne/2)-j]>0);
if(d==0)su[j] = 0;
}
for(int j = 2*sum;j>=arr[it];j--){
dp[j]+=dp[j-arr[it]];
if(dp[j]>=1e18)dp[j]%=mod;
}
}
cout<<su.count()<<"\n";
for(int i = 1;i<=sum;i++)if(su[i])cout<<i<<" ";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
264 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
264 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
264 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
4 ms |
340 KB |
Output is correct |
22 |
Correct |
4 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
8 ms |
408 KB |
Output is correct |
25 |
Correct |
14 ms |
468 KB |
Output is correct |
26 |
Correct |
15 ms |
476 KB |
Output is correct |
27 |
Correct |
14 ms |
468 KB |
Output is correct |
28 |
Correct |
15 ms |
484 KB |
Output is correct |
29 |
Correct |
15 ms |
480 KB |
Output is correct |
30 |
Correct |
11 ms |
340 KB |
Output is correct |
31 |
Correct |
14 ms |
448 KB |
Output is correct |
32 |
Correct |
9 ms |
404 KB |
Output is correct |
33 |
Correct |
16 ms |
468 KB |
Output is correct |
34 |
Correct |
16 ms |
488 KB |
Output is correct |
35 |
Correct |
17 ms |
468 KB |
Output is correct |
36 |
Correct |
8 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
264 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
4 ms |
340 KB |
Output is correct |
22 |
Correct |
4 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
8 ms |
408 KB |
Output is correct |
25 |
Correct |
14 ms |
468 KB |
Output is correct |
26 |
Correct |
15 ms |
476 KB |
Output is correct |
27 |
Correct |
14 ms |
468 KB |
Output is correct |
28 |
Correct |
15 ms |
484 KB |
Output is correct |
29 |
Correct |
15 ms |
480 KB |
Output is correct |
30 |
Correct |
11 ms |
340 KB |
Output is correct |
31 |
Correct |
14 ms |
448 KB |
Output is correct |
32 |
Correct |
9 ms |
404 KB |
Output is correct |
33 |
Correct |
16 ms |
468 KB |
Output is correct |
34 |
Correct |
16 ms |
488 KB |
Output is correct |
35 |
Correct |
17 ms |
468 KB |
Output is correct |
36 |
Correct |
8 ms |
340 KB |
Output is correct |
37 |
Correct |
66 ms |
620 KB |
Output is correct |
38 |
Correct |
68 ms |
620 KB |
Output is correct |
39 |
Correct |
231 ms |
1280 KB |
Output is correct |
40 |
Correct |
150 ms |
824 KB |
Output is correct |
41 |
Correct |
274 ms |
1364 KB |
Output is correct |
42 |
Correct |
137 ms |
784 KB |
Output is correct |
43 |
Correct |
226 ms |
1312 KB |
Output is correct |
44 |
Correct |
238 ms |
1328 KB |
Output is correct |
45 |
Correct |
239 ms |
1332 KB |
Output is correct |
46 |
Correct |
148 ms |
724 KB |
Output is correct |
47 |
Correct |
141 ms |
844 KB |
Output is correct |
48 |
Correct |
242 ms |
1280 KB |
Output is correct |
49 |
Correct |
239 ms |
1284 KB |
Output is correct |
50 |
Correct |
140 ms |
844 KB |
Output is correct |
51 |
Correct |
27 ms |
724 KB |
Output is correct |
52 |
Correct |
320 ms |
1548 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
264 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
4 ms |
340 KB |
Output is correct |
22 |
Correct |
4 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
8 ms |
408 KB |
Output is correct |
25 |
Correct |
14 ms |
468 KB |
Output is correct |
26 |
Correct |
15 ms |
476 KB |
Output is correct |
27 |
Correct |
14 ms |
468 KB |
Output is correct |
28 |
Correct |
15 ms |
484 KB |
Output is correct |
29 |
Correct |
15 ms |
480 KB |
Output is correct |
30 |
Correct |
11 ms |
340 KB |
Output is correct |
31 |
Correct |
14 ms |
448 KB |
Output is correct |
32 |
Correct |
9 ms |
404 KB |
Output is correct |
33 |
Correct |
16 ms |
468 KB |
Output is correct |
34 |
Correct |
16 ms |
488 KB |
Output is correct |
35 |
Correct |
17 ms |
468 KB |
Output is correct |
36 |
Correct |
8 ms |
340 KB |
Output is correct |
37 |
Correct |
66 ms |
620 KB |
Output is correct |
38 |
Correct |
68 ms |
620 KB |
Output is correct |
39 |
Correct |
231 ms |
1280 KB |
Output is correct |
40 |
Correct |
150 ms |
824 KB |
Output is correct |
41 |
Correct |
274 ms |
1364 KB |
Output is correct |
42 |
Correct |
137 ms |
784 KB |
Output is correct |
43 |
Correct |
226 ms |
1312 KB |
Output is correct |
44 |
Correct |
238 ms |
1328 KB |
Output is correct |
45 |
Correct |
239 ms |
1332 KB |
Output is correct |
46 |
Correct |
148 ms |
724 KB |
Output is correct |
47 |
Correct |
141 ms |
844 KB |
Output is correct |
48 |
Correct |
242 ms |
1280 KB |
Output is correct |
49 |
Correct |
239 ms |
1284 KB |
Output is correct |
50 |
Correct |
140 ms |
844 KB |
Output is correct |
51 |
Correct |
27 ms |
724 KB |
Output is correct |
52 |
Correct |
320 ms |
1548 KB |
Output is correct |
53 |
Correct |
253 ms |
1156 KB |
Output is correct |
54 |
Correct |
345 ms |
1316 KB |
Output is correct |
55 |
Correct |
658 ms |
2316 KB |
Output is correct |
56 |
Correct |
295 ms |
1316 KB |
Output is correct |
57 |
Correct |
695 ms |
2396 KB |
Output is correct |
58 |
Correct |
387 ms |
1400 KB |
Output is correct |
59 |
Correct |
449 ms |
1632 KB |
Output is correct |
60 |
Correct |
76 ms |
1276 KB |
Output is correct |
61 |
Correct |
522 ms |
1908 KB |
Output is correct |
62 |
Correct |
528 ms |
2076 KB |
Output is correct |
63 |
Correct |
579 ms |
2200 KB |
Output is correct |
64 |
Correct |
550 ms |
2176 KB |
Output is correct |
65 |
Correct |
215 ms |
1068 KB |
Output is correct |
66 |
Correct |
236 ms |
1144 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
264 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
4 ms |
340 KB |
Output is correct |
22 |
Correct |
4 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
8 ms |
408 KB |
Output is correct |
25 |
Correct |
14 ms |
468 KB |
Output is correct |
26 |
Correct |
15 ms |
476 KB |
Output is correct |
27 |
Correct |
14 ms |
468 KB |
Output is correct |
28 |
Correct |
15 ms |
484 KB |
Output is correct |
29 |
Correct |
15 ms |
480 KB |
Output is correct |
30 |
Correct |
11 ms |
340 KB |
Output is correct |
31 |
Correct |
14 ms |
448 KB |
Output is correct |
32 |
Correct |
9 ms |
404 KB |
Output is correct |
33 |
Correct |
16 ms |
468 KB |
Output is correct |
34 |
Correct |
16 ms |
488 KB |
Output is correct |
35 |
Correct |
17 ms |
468 KB |
Output is correct |
36 |
Correct |
8 ms |
340 KB |
Output is correct |
37 |
Correct |
66 ms |
620 KB |
Output is correct |
38 |
Correct |
68 ms |
620 KB |
Output is correct |
39 |
Correct |
231 ms |
1280 KB |
Output is correct |
40 |
Correct |
150 ms |
824 KB |
Output is correct |
41 |
Correct |
274 ms |
1364 KB |
Output is correct |
42 |
Correct |
137 ms |
784 KB |
Output is correct |
43 |
Correct |
226 ms |
1312 KB |
Output is correct |
44 |
Correct |
238 ms |
1328 KB |
Output is correct |
45 |
Correct |
239 ms |
1332 KB |
Output is correct |
46 |
Correct |
148 ms |
724 KB |
Output is correct |
47 |
Correct |
141 ms |
844 KB |
Output is correct |
48 |
Correct |
242 ms |
1280 KB |
Output is correct |
49 |
Correct |
239 ms |
1284 KB |
Output is correct |
50 |
Correct |
140 ms |
844 KB |
Output is correct |
51 |
Correct |
27 ms |
724 KB |
Output is correct |
52 |
Correct |
320 ms |
1548 KB |
Output is correct |
53 |
Correct |
253 ms |
1156 KB |
Output is correct |
54 |
Correct |
345 ms |
1316 KB |
Output is correct |
55 |
Correct |
658 ms |
2316 KB |
Output is correct |
56 |
Correct |
295 ms |
1316 KB |
Output is correct |
57 |
Correct |
695 ms |
2396 KB |
Output is correct |
58 |
Correct |
387 ms |
1400 KB |
Output is correct |
59 |
Correct |
449 ms |
1632 KB |
Output is correct |
60 |
Correct |
76 ms |
1276 KB |
Output is correct |
61 |
Correct |
522 ms |
1908 KB |
Output is correct |
62 |
Correct |
528 ms |
2076 KB |
Output is correct |
63 |
Correct |
579 ms |
2200 KB |
Output is correct |
64 |
Correct |
550 ms |
2176 KB |
Output is correct |
65 |
Correct |
215 ms |
1068 KB |
Output is correct |
66 |
Correct |
236 ms |
1144 KB |
Output is correct |
67 |
Correct |
518 ms |
1704 KB |
Output is correct |
68 |
Correct |
173 ms |
2132 KB |
Output is correct |
69 |
Execution timed out |
1099 ms |
3620 KB |
Time limit exceeded |
70 |
Halted |
0 ms |
0 KB |
- |